Treffer: Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces
Title:
Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces
Authors:
Contributors:
Gal, S. G., Sabadini, I.
Publication Year:
2022
Collection:
RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano
Subject Terms:
Polyanalytic complex Bergman space, polyanalytic complex functions, polyanalytic complex polynomials, polyanalytic quaternionic Bergman space of the first kind, polyanalytic quaternionic Bergman space of the second kind, slice quaternionic polyanalytic functions, slice quaternionic polyanalytic polynomials, convolution with trigonometric kernels, quantitative estimates, Lp-moduli of smoothness, slice regular functions, best approximation
Document Type:
Fachzeitschrift
article in journal/newspaper
Language:
English
Relation:
info:eu-repo/semantics/altIdentifier/wos/WOS:000992761000008; volume:29; issue:4; firstpage:533; lastpage:553; numberofpages:21; journal:BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN; https://hdl.handle.net/11311/1255717
DOI:
10.36045/j.bbms.220502
Rights:
info:eu-repo/semantics/openAccess
Accession Number:
edsbas.AD0C223F
Database:
BASE
Weitere Informationen
We introduce the concepts of complex polyanalytic weighted Bergman spaces and of quaternionic polyanalytic weighted Bergman spaces of first and sec-ond kind. In these spaces we then prove qualitative and quantitative results in approximation by polyanalytic polynomials. The quantitative approxima-tion results are given in terms of higher order Lp-moduli of smoothness and in terms of the best approximation quantity.